Finding the Third Proportional to 21,971 and 34,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,971 : 34,048.50 = 34,048.50 : x
2. Step 2: Convert to fraction form
   21,971/34,048.50 = 34,048.50/x
3. Step 3: Cross multiply
   21,971x = 34,048.50 × 34,048.50
4. Step 4: Simplify right side
   21,971x = 1,159,300,352.25
5. Step 5: Solve for x
   x = 1,159,300,352.25/21,971
6. Step 6: Final answer
   x = 52,765.02